Least Common Multiple (LCM) of 169 and 154
The least common multiple (LCM) of 169 and 154 is 26026.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 169 and 154?
First, calculate the GCD of 169 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 154 = 1 remainder 15 |
| 2 | 154 ÷ 15 = 10 remainder 4 |
| 3 | 15 ÷ 4 = 3 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 77 | 5313 |
| 86 and 75 | 6450 |
| 164 and 51 | 8364 |
| 157 and 70 | 10990 |
| 91 and 105 | 1365 |